%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:52 AM UTC 2026
% Result : Unsatisfiable 0.62s 0.54s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 12 RR)
% Number of literals : 82 ( 81 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 187 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(meet(X4,X3),meet(X2,X3)) = join(meet(X4,X3),meet(X3,X2)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c7,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
join(meet(X4,X3),meet(X3,X2)) = join(meet(X4,X3),meet(X2,X3)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
join(meet(X4,X3),meet(X2,X3)) = join(meet(X3,X4),meet(X2,X3)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c13,plain,
join(meet(X2,X3),meet(X3,X4)) = join(meet(X3,X4),meet(X2,X3)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
join(meet(X3,X4),meet(X2,X3)) = join(meet(X2,X3),meet(X3,X4)),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c12]) ).
cnf(c16,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(join(X4,X3),join(X3,X2)) = meet(join(X3,X4),join(X3,X2)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,hypothesis,
join(X2,meet(Y2,Z)) = meet(join(X2,Y2),join(X2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
cnf(c19,plain,
join(X3,meet(X4,X2)) = meet(join(X3,X4),join(X3,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
meet(join(X3,X4),join(X3,X2)) = join(X3,meet(X4,X2)),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
meet(join(X4,X3),join(X3,X2)) = join(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c17,c20]) ).
cnf(c22,plain,
meet(join(X3,meet(X2,X3)),join(meet(X2,X3),X4)) = join(meet(X2,X3),meet(X3,X4)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
join(meet(X2,X3),meet(X3,X4)) = meet(join(X3,meet(X2,X3)),join(meet(X2,X3),X4)),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c25,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c28,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c26,c28]) ).
cnf(c30,plain,
meet(join(X3,meet(X2,X3)),join(meet(X2,X3),X4)) = meet(X3,join(meet(X2,X3),X4)),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
join(meet(X2,X3),X4) = join(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c32,plain,
meet(X3,join(meet(X2,X3),X4)) = meet(X3,join(X4,meet(X2,X3))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c34,plain,
join(X4,meet(X2,X3)) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(X3,join(X4,meet(X2,X3))) = meet(X3,join(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c37,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
join(X3,meet(X4,X2)) = join(X3,meet(X2,X4)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
meet(X4,join(X3,meet(X4,X2))) = meet(X4,join(X3,meet(X2,X4))),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c12]) ).
cnf(c41,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(join(X4,X3),join(X2,X4)) = meet(join(X4,X3),join(X4,X2)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
join(X4,meet(X3,X2)) = meet(join(X4,X3),join(X4,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c44,plain,
meet(join(X4,X3),join(X4,X2)) = join(X4,meet(X3,X2)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(join(X4,X3),join(X2,X4)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c42,c44]) ).
cnf(c46,plain,
meet(join(X3,X2),join(X4,X3)) = join(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
join(X3,meet(X2,X4)) = meet(join(X3,X2),join(X4,X3)),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,meet(join(X3,X2),join(X4,X3))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(join(X4,X2),X3) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c50,plain,
meet(X3,join(X4,X2)) = meet(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,meet(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c53,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,meet(join(X4,X2),X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(meet(X4,join(X4,X2)),X3),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(c56,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,X3),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c54,c57]) ).
cnf(c59,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c51,c58]) ).
cnf(c60,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c48,c60]) ).
cnf(c62,plain,
meet(X4,join(X3,meet(X4,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c39,c61]) ).
cnf(c63,plain,
meet(X3,join(X4,meet(X3,X2))) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
meet(X3,join(X4,meet(X2,X3))) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c35,c63]) ).
cnf(c65,plain,
meet(X3,join(meet(X2,X3),X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c32,c64]) ).
cnf(c66,plain,
meet(join(X3,meet(X2,X3)),join(meet(X2,X3),X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c30,c65]) ).
cnf(c67,plain,
join(meet(X2,X3),meet(X3,X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c23,c66]) ).
cnf(c68,plain,
join(meet(X3,X4),meet(X2,X3)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c14,c67]) ).
cnf(c69,plain,
join(meet(X4,X3),meet(X2,X3)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c11,c68]) ).
cnf(c70,plain,
join(meet(X4,X3),meet(X3,X2)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c8,c69]) ).
cnf(c71,plain,
join(meet(X4,X3),meet(X2,X3)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c5,c70]) ).
cnf(c72,plain,
join(meet(yy,xx),meet(zz,xx)) = meet(xx,join(yy,zz)),
inference(substitution,[status(thm)],[c71]) ).
cnf(c73,plain,
meet(xx,join(yy,zz)) = join(meet(yy,xx),meet(zz,xx)),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
meet(xx,zz) = meet(zz,xx),
inference(substitution,[status(thm)],[c2]) ).
cnf(c75,plain,
meet(zz,xx) = meet(xx,zz),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
join(meet(yy,xx),meet(zz,xx)) = join(meet(yy,xx),meet(xx,zz)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
meet(xx,yy) = meet(yy,xx),
inference(substitution,[status(thm)],[c2]) ).
cnf(c78,plain,
meet(yy,xx) = meet(xx,yy),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
join(meet(yy,xx),meet(xx,zz)) = join(meet(xx,yy),meet(xx,zz)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
join(meet(yy,xx),meet(zz,xx)) = join(meet(xx,yy),meet(xx,zz)),
inference(transitivity,[status(thm)],[c76,c79]) ).
cnf(c81,plain,
meet(xx,join(yy,zz)) = join(meet(xx,yy),meet(xx,zz)),
inference(transitivity,[status(thm)],[c73,c80]) ).
cnf(c82,plain,
$false,
inference(resolution,[status(thm)],[c1,c81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:52:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.54 Command-line arguments: --no-flatten-goal
% 0.62/0.54
% 0.62/0.54 % SZS status Unsatisfiable
% 0.62/0.54
% 0.62/0.54 % SZS output start CNFRefutation
% See solution above
% 0.62/0.56
% 0.62/0.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------